What is the Greatest Common Factor of 95983 and 95997?

Greatest common factor (GCF) of 95983 and 95997 is 1.

GCF(95983,95997) = 1

We will now calculate the prime factors of 95983 and 95997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95983 and 95997.

How to find the GCF of 95983 and 95997?

We will first find the prime factorization of 95983 and 95997. After we will calculate the factors of 95983 and 95997 and find the biggest common factor number .

Step-1: Prime Factorization of 95983

Prime factors of 95983 are 53, 1811. Prime factorization of 95983 in exponential form is:

95983 = 53¹ × 1811¹

Step-2: Prime Factorization of 95997

Prime factors of 95997 are 3, 11, 2909. Prime factorization of 95997 in exponential form is:

95997 = 3¹ × 11¹ × 2909¹

Step-3: Factors of 95983

List of positive integer factors of 95983 that divides 95983 without a remainder.

1, 53, 1811

Step-4: Factors of 95997

List of positive integer factors of 95997 that divides 95983 without a remainder.

1, 3, 11, 33, 2909, 8727, 31999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95983 and 95997. The biggest common factor number is the GCF number.
So the greatest common factor 95983 and 95997 is 1.

Also check out the Least Common Multiple of 95983 and 95997